Friday, January 4, 2013

Relative Frequency Table


Introduction to Relative Frequency Table

A Frequency is the total number of times a given data present in a data set. A Relative frequency table is the division of times a solution occurs. To calculate relative frequencies, split each frequency by entire number of data in a data set. In Relative frequencies, we can represent solution as fractions, percents, or decimals. A relative frequency table shows the total number for each group and the relative frequency or percentage of time in which each group occurs.



Explanation of Relative Frequency Table

The relative frequency table is used to present how the data can be spread. When the frequencies are represented in columns, then the graph that was plotted is called a histogram.

Frequency distributions can illustrate also the definite number of observations falling in each of the percentage of observations. In the last case, this distribution is referred as a relative frequency distribution

Relative frequency table depends on grouping of data divided into mutually exclusive classes and the number of occurrences in a class. Managing and operating on relative frequency table data is much easier than process on raw data.

Relative frequencies Table can be provided with Frequency Distributions are histograms, pie charts, bar charts, and line graphs. A Histogram that represent the frequency by means of four-sided figure in which the class intervals represented by width of a four-sided figure and frequencies are directly proportional to area of the rectangle. Is this topic help solving linear equations hard for you? Watch out for my coming posts.

While constructing the relative frequency table, we have to note down three important points.

How many classes or intervals do you want? This also identifies the class width.

Where does the first interval of the relative frequency table start?

How can avoid boundary upheld?

Example Problem for Relative Frequency Table

Find the Relative frequency table from the given frequency table.

DATA    FREQUENCY
2    2
3    5
4    12
5    10
6    3

Solution:

To find the Relative frequency

Step1:

Add all the frequency values:

= 2+5+12+10+3

= 32

Step2:

Relative Frequency = Frequency value / Sum of total number of Frequency

Therefore, the Relative frequency table is,

DATA    FREQUENCY    RELATIVE FREQUENCY
2    2    2/32 or 0.06
3    5    5/32 or 0.15
4    12    12/32 or 0.37
5    10    10/32 or 0.31
6    3    3/32 or 0.93

So, the sum of relative frequency = 2/32 + 5/32 + 12/32 + 10/32 + 3/32

= 32/32

= 1

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